Yale Corporation issued $$54,000,8\%($cash interest payable semiannually on June $30$ and December $31)10-$year bonds dated and sold on January $1.$ Yale amortizes any bond discount or premium using the effective interest amortization method and bond issuance costs are $$1,350.$ If the bonds were sold to yield $9\%,$ provide journal entries to be made at each of the following dates.

a$.$ January $1,$ for issuance of bonds.

b$.$ June $30,$ for the first interest payment.